Consider max 3-sat (given a set of 3-clauses, find the assignment that satisfies as many of them as possible). come up with a simple randomized algorithm that will achieve an approximation factor of 7 8 in expectation. that is, if the optimal solution satisfies k clauses, your algorithm should produce an assignment that satisfies at least 7 8 ∗ k clauses in expectation. you may assume that every clause contains exactly 3 distinct variables.